Okay. I’m no mathematician, but I’m pretty sure it would be 995/90 = h. I used the “/” as the divide symbol. This would be the equation because you need to divide the total by the cash per hour to be able to get the number of hours the plumber worked. I really hope this helps!
Answer: a)
b)
c) 
Step-by-step explanation:
Since we have given that
There are green and yellow candies in each bag.
Bag A: Two thirds of the candies are yellow. What portion of the candies is green?
Part of yellow candies in bag A = 
Part of green candies in bag A would be

Bag B: 29 % of the candies are yellow. What portion of the candies is green?
Percentage of candies are yellow = 29%
Portion of candies are green is given by

Bag C: 4 out of every 9 candies are yellow. What portion of the candies is green?
Portion of yellow candies = 
Portion of green candies would be

Hence, a)
b)
c) 
Question 14, Part (i)
Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,
A+B+C+D = 360
A+90+C+90 = 360
A+C+180 = 360
A+C = 360-180
A+C = 180
Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.
==================================================
Question 14, Part (ii)
Let
x = measure of angle 1
y = measure of angle 2
z = measure of angle 3
Back in part (i) above, we showed that y + z = 180
Note that angles 1 and 2 are adjacent to form a straight line, so we can say
x+y = 180
-------
We have the two equations x+y = 180 and y+z = 180 to form this system of equations

Which is really the same as this system

The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.
Answer:
5.1
Step-by-step explanation:
Answer:
Step-by-step explanation:
When the coefficients don't lend themselves to solution by substitution or elimination, then Cramer's Rule can be useful. It tells you the solutions to
are ...
- ∆ = bd -ea
- x = (bf -ec)/∆
- y = (cd -fa)/∆
Using that rule here, we find ...
∆ = 5·3 -6·2 = 3
a = (5·54 -6·41)/3 = 5·18 -2·41 = 90 -82 = 8
s = (41·3 -54·2)/3 = 41 -18·2 = 5
This math can be performed in your head, which is the intent of formulating the rule in this way.
_____
Similarly, if you expect the solutions to be small integers (as here), then graphing is another viable solution method.
_____
<em>Comment on the question</em>
We're sad to see than only 16 tickets were sold to the two performances by the symphonic band.